时标上二阶脉冲动力方程边值问题正解的存在性  

Existence of Positive Solutions for Boundary Value Problems of Second-Order Impulsive Dynamic Equations on Time Scales

作　　者：武利猛[1] 张娟 李素红[1] 石瑞书 WU Limeng;ZHANG Juan;LI Suhong;SHI Ruishu(School of Mathematics and Information Technology,Hebei Normal University of Science&Technology,Qinhuangdao Hebei,066004,China;Department of Scientific Research,Hebei Normal University of Science&Technology,Qinhuangdao Hebei,066004,China)

机构地区：[1]河北科技师范学院数学与信息科技学院,河北秦皇岛066004 [2]河北科技师范学院科研处,河北秦皇岛066004

出　　处：《河北科技师范学院学报》2020年第4期7-13,共7页Journal of Hebei Normal University of Science & Technology

摘　　要：研究了时标上p-Laplacian二阶脉冲边值问题解的存在性,利用twin不动点定理,得到了至少存在2个正解的判别条件,并通过举例证明了结果的可行性。The existence of positive solutions for second-order impulsive dynamic equations with p-Laplacian operator on time scales are studied.By means of the twin fixed point theorem,the criteria for the existence of at least two positive solutions for the above problem is established,and the feasibility is demonstrated.

关 键 词：时标 P-LAPLACIAN算子 twin不动点定理 脉冲动力方程 

分 类 号：O175.8[理学—数学]